The internal code name for this round of cuts is "Project Apollo," sources told the union, Alliance@IBM on an online forum where those who work for IBM can post comments about what's going on inside the company. (Note: IBM tells us that IBM doesn't recognize this union as an official representative of IBM employees.)

No one knows exactly how many people IBM will cut as part of its 2014 "workforce rebalancing." IBM won't comment on the number of employees affected but CFO Martin Schroeter did say that IBM plans to spend $1 billion on 2014's cuts, "plus or minus $100 million," (the same as it spent in 2013) and that the layoff would occur in the first quarter.

With more cuts looming, the governor of New York this week announced an agreement with IBM in which the tech giant promised to maintain at least 3,100 employees in New York through the end of 2016, including bringing 500 new jobs to Buffalo.

That still leaves IBM plenty of wiggle room for cuts in the state. IBM, which is headquartered in Armonk, N.Y., is a major employer there. The Poughkeepsie Journal says IBM employs 7,500 in Dutchess County alone. Sources say the mood at various IBM locations from New York to Boulder, Colo., is tense.

The latest total headcount number for IBM is from 2012: 434,246.

IBM had no comment on the date when U.S. layoffs will begin.

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